cos 45°
√2/2
The value of cos 45° is √2 / 2 or approximately 0.7071067812.
The cosine (cos) of an angle is defined as the ratio of the adjacent side to the hypotenuse in a right-angled triangle containing the angle. In the case of a 45-degree angle, the adjacent side and the opposite side of the angle are equal, and the hypotenuse is the square root of two times the length of one of the legs. Therefore, the value of cos 45° is obtained by dividing the length of the adjacent side by the length of the hypotenuse, which simplifies to √2 / 2.
It is important to note that trigonometric functions such as the cosine function are most commonly expressed in either radians or degrees. In this case, the angle is given in degrees, so we use the trigonometric values for angles measured in degrees.
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